Rounding Whole Numbers and Decimals Mixed Practice Worksheet | PDF ... - Free Printable

Let's solve each section of the worksheet step by step and explain the rounding rules.

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Rounding Rules Recap:

- To round to a place value, look at the digit immediately to the right.
- If it’s 5 or more, round up.
- If it’s less than 5, round down.
- For whole numbers, we’re rounding to tens, hundreds, thousands, etc.
- For decimals, we follow the same rule depending on the required decimal place.

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## ✔ Section A: Round to nearest 10, 100, or 1000

We look at the digit in the next smaller place to decide whether to round up or down.

1) 35 (to 10)
→ Look at the ones digit: 5 → ≥ 5 → round up
→ 35 → 40

2) 14 (to 10)
→ Ones digit: 4 < 5 → round down
→ 14 → 10

3) 521 (to 10)
→ Ones digit: 1 < 5 → round down
→ 521 → 520

4) 4,108 (to 10)
→ Ones digit: 8 ≥ 5 → round up
→ 4,108 → 4,110

5) 197 (to 10)
→ Ones digit: 7 ≥ 5 → round up
→ 197 → 200

6) 715 (to 100)
→ Tens digit: 1 < 5 → round down
→ 715 → 700

7) 962 (to 100)
→ Tens digit: 6 ≥ 5 → round up
→ 962 → 1,000

8) 1,841 (to 100)
→ Tens digit: 4 < 5 → round down
→ 1,841 → 1,800

9) 2,977 (to 1,000)
→ Hundreds digit: 9 ≥ 5 → round up
→ 2,977 → 3,000

10) 18,814 (to 1,000)
→ Hundreds digit: 8 ≥ 5 → round up
→ 18,814 → 19,000

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✔ Section B: Round to the nearest whole number

Look at the tenths place (first digit after decimal).

1) 0.6
→ Tenths: 6 ≥ 5 → round up → 1

2) 0.19
→ Tenths: 1 < 5 → round down → 0

3) 1.7
→ Tenths: 7 ≥ 5 → round up → 2

4) 5.3
→ Tenths: 3 < 5 → round down → 5

5) 4.81
→ Tenths: 8 ≥ 5 → round up → 5

6) 0.219
→ Tenths: 2 < 5 → round down → 0

7) 18.086
→ Tenths: 0 < 5 → round down → 18

8) 299.5
→ Tenths: 5 → round up → 300

9) 783.444
→ Tenths: 4 < 5 → round down → 783

10) 999.55123
→ Tenths: 5 → round up → 1,000

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✔ Section C: Round to indicated decimal place

#### Tenths: Look at hundredths (second decimal)
#### Hundredths: Look at thousandths (third decimal)
#### Thousandths: Look at ten-thousandths (fourth decimal)

1) 2.16 (tenth)
→ Hundredths: 6 ≥ 5 → round up → 2.1 → 2.2

2) 5.08 (tenth)
→ Hundredths: 8 ≥ 5 → round up → 5.0 → 5.1

3) 850.05 (tenth)
→ Hundredths: 5 → round up → 850.0 → 850.1

4) 3.4729 (tenth)
→ Hundredths: 7 ≥ 5 → round up → 3.4 → 3.5

5) 6.9811 (tenth)
→ Hundredths: 8 ≥ 5 → round up → 6.9 → 7.0

6) 7.418 (hundredth)
→ Thousandths: 8 ≥ 5 → round up → 7.41 → 7.42

7) 11.164 (hundredth)
→ Thousandths: 4 < 5 → round down → 11.16 → 11.16

8) 0.85512 (hundredth)
→ Thousandths: 5 → round up → 0.85 → 0.86

9) 42.9966 (hundredth)
→ Thousandths: 6 ≥ 5 → round up → 42.99 → 43.00

10) 4.12059 (thousandth)
→ Ten-thousandths: 5 → round up → 4.120 → 4.121

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✔ Final Answers:

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Section A:

1) 40
2) 10
3) 520
4) 4,110
5) 200
6) 700
7) 1,000
8) 1,800
9) 3,000
10) 19,000

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Section B:

1) 1
2) 0
3) 2
4) 5
5) 5
6) 0
7) 18
8) 300
9) 783
10) 1,000

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Section C:

1) 2.2
2) 5.1
3) 850.1
4) 3.5
5) 7.0
6) 7.42
7) 11.16
8) 0.86
9) 43.00
10) 4.121

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✔ All answers are now filled out with explanations based on standard rounding rules.

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